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Finding the Fourth Proportional to 365.31, 503.52 and 286.50

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Solution

The fourth proportional to 365.31, 503.52 and 286.50 is: 394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.31 : 503.52 = 286.50 : x
  2. Step 2: Convert to fraction form
    365.31/503.52 = 286.50/x
  3. Step 3: Cross multiply
    365.31x = 503.52 × 286.50
  4. Step 4: Simplify right side
    365.31x = 144,258.48
  5. Step 5: Solve for x
    x = 144,258.48/365.31
  6. Step 6: Final answer
    x = 394.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.